What graph does the equation x = e ^ t + e ^ - t, y = e ^ t + e ^ - t (t is a parameter) represent Why a hyperbola x ^ 2-y ^ 2 = 4 instead of a straight line x = y

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• 1. In △ ABC, a > b > C, and C = (a + b) / 2, if vertex a (- 1,0), B (1,0), find the trajectory equation of vertex C
• 2. In ABC, a > C > b, and C = a + B / 2, if vertex a (- 1,0) B (1,0), find the trajectory equation of vertex C
• 3. It is known that the vertex of triangle ABC is a (0,1) B (8,0) C (4,10) if vector BD = vector DC, and vector CE = 2, vector EA, a The intersection of AD and be is f, and the vector AF is obtained.
• 4. Given the vertices a (1, - 1,2), B (5, - 6,2) C (1,3, - 1) of △ ABC, then the length of high BD on the edge of AC is (vector)
• 5. If the vertices a (1. - 1,2), B (5, - 6,2) C (1,3, - 1) of △ ABC are known, then the length of high BD on the edge of AC is equal to
• 6. In the triangle ABC, the angle ABC is the acute angle, the point D is the moving point on the ray BC, connecting ad, and making a square ADEF on the right side of ad with AD as one side If AB = AC and BAC = 90, is CF perpendicular to BD when point D is on the extension line of BC? If AB is not equal to AC angle, BAC is not equal to 90 point D, then BC motion triangle ABC satisfies what condition CF is perpendicular to BC If AC = 4, radical 2, BC = 3, under the condition of 2, let CF intersection of square ADEF and P find the maximum value of CP
• 7. In the triangle ABC, point D is a point on the ray Ba, make de = CD, intersect the straight line BC at point E. when point D is on AB, find CE = AD + AC These triangles are equilateral
• 8. In the triangle ABC, the angle ACB is the acute angle, the point D is the moving point on the ray BC, connecting ad, and making a square ADEF with AD as one side and on the right side of AD
• 9. As shown in the figure, two congruent right triangles are overlapped, and one of them is translated to the position of △ def along the direction from point B to C, ab = 10, do = 4, and the translation distance is 6, then the shadow area is () A. 48B. 96C. 84D. 42
• 10. Given that the coordinates of the three vertices of the triangle ABC are a (- 2,1), B (3,6), C (6,5), the equation of the circumcircle of the triangle ABC is obtained
• 11. It is known that the parabola y = x ^ 2 + 2x + m intersects with X axis at two points AB, and the equation of a circle with diameter AB is obtained
• 12. If there is a common point between the line L passing through point a (3,0) and the curve (x-1) 2 + y2 = 1, then the value range of the slope of the line L is () A. (−3，3)B. [−3，3]C. (−33，33)D. [−33，33]
• 13. In RT triangle ABC, angle c = 90 degrees, angle a = 45 degrees, and ab = 8 AC.BC
• 14. Point P and point q are on the line AB, and AP: Pb = 3:2, AQ: QB = 3:4, PQ = 3, find the length of line AB?
• 15. Try to discuss the application of Maslow's hierarchy of needs theory in management
• 16. Schematic diagram of lever principle in push up Push up is a hard lever, please draw the arm and fulcrum, dynamic resistance
• 17. If the two sides of a triangle are 3cm and 5cm in length, and the cosine of the angle is the root of the equation 5x & sup2; - 7x-6 = 0, what is the area of the triangle?
• 18. As shown in the figure, a vegetable farmer builds a plastic greenhouse. If the width of the greenhouse is a = 4m, the height is b = 3M, and the length is d = 35m, the area of the plastic film covering the top is m ^ 2
• 19. In △ ABC, ad, be and CF are bisectors of three internal angles respectively, which intersect at O and og ⊥ BC, and the perpendicular foot is g Same topic
• 20. In the triangle ABC, AB > AC, AF is the angle bisector, D is the point on AB and ad = AC, de ‖ BC intersects AC at e to prove the angle EDF of CD bisector